Exam (elaborations) TEST BANK FOR Introduction to Solid State Physics 8th Edition By Kittel C. (Solution manual)

1. The vectors ˆˆˆ++xyz and ˆˆˆ−−+xyz are in the directions of two body diagonals of a cube. If θ is the angle between them, their scalar product gives cos θ = –1/3, whence . 1cos1/'10928'−θ==°+°=° 2. The plane (100) is normal to the x axis. It intercepts the a' axis at and the c' axis at ; therefore the indices referred to the primitive axes are (101). Similarly, the plane (001) will have indices (011) when referred to primitive axes. 2a'2c' 3. The central dot of the four is at distance cos60actn60cos303aa°=°=° from each of the other three dots, as projected onto the basal plane. If the (unprojected) dots are at the center of spheres in contact, then 222aca,23⎛⎞⎛⎞=+⎜⎟⎜⎟⎝⎠⎝⎠ or 2221c8ac;1.633.34a3== 1-1 CHAPTER 2 1. The crystal plane with Miller indices hk